Joint noncoherent demodulation and carrier frequency offset correction based on non-linear filtering

A wireless device, and corresponding method, having a receiver configured to receive a signal having in-phase and quadrature components; a non-linear filter demodulator configured to translate noncoherently the in-phase and quadrature components into phase and frequency domain signals, and to estimate and correct carrier frequency offset; a coherence signal parameter acquisition unit is configured to estimate and correct at least one correct coherence signal parameter based on the in-phase and quadrature components and the phase or frequency domain signal; and a symbol detector is configured to detect information in the phase or frequency domain signal. If optimal coherent information detection is desired, the at least one signal parameter is not only carrier phase offset and carrier timing offset, but also phase frequency offset, wherein the estimation and correction of the carrier frequency offset performed by the signal parameter acquisition unit is more precise than that performed by the non-linear filter demodulator. In such a case the detector is configured to detect information in the phase domain signal.